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arXiv:math/0306414 [math.AG]AbstractReferencesReviewsResources

The connection between representation theory and Schubert calculus

Harry Tamvakis

Published 2003-06-29, updated 2013-09-06Version 2

We describe a direct connection between the representation theory of the general linear group and classical Schubert calculus on the Grassmannian, which goes via the Chern-Weil theory of characteristic classes. We also explain why the analogous constructions do not give the same result for other Lie groups.

Comments: 14 pages; final version
Journal: Enseign. Math. 50 (2004), 267-286
Categories: math.AG, math.RT
Subjects: 14M15, 05E15, 22E46, 53C05
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